Home / 1,973.86-2,960.80-513.02

Finding the Fourth Proportional to 1,973.86, 2,960.80 and 513.02

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Solution

The fourth proportional to 1,973.86, 2,960.80 and 513.02 is: 769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.86 : 2,960.80 = 513.02 : x
  2. Step 2: Convert to fraction form
    1,973.86/2,960.80 = 513.02/x
  3. Step 3: Cross multiply
    1,973.86x = 2,960.80 × 513.02
  4. Step 4: Simplify right side
    1,973.86x = 1,518,949.62
  5. Step 5: Solve for x
    x = 1,518,949.62/1,973.86
  6. Step 6: Final answer
    x = 769.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.